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# Solutions for Chapter 3.1: The Derivative and the Tangent Line Problem ## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770 Solutions for Chapter 3.1: The Derivative and the Tangent Line Problem

Solutions for Chapter 3.1
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##### ISBN: 9781285774770

Chapter 3.1: The Derivative and the Tangent Line Problem includes 98 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Since 98 problems in chapter 3.1: The Derivative and the Tangent Line Problem have been answered, more than 45305 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Algebraic expression

A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

• Boxplot (or box-and-whisker plot)

A graph that displays a five-number summary

• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Circle graph

A circular graphical display of categorical data

• Complex conjugates

Complex numbers a + bi and a - bi

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Data

Facts collected for statistical purposes (singular form is datum)

• Degree of a polynomial (function)

The largest exponent on the variable in any of the terms of the polynomial (function)

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Independent variable

Variable representing the domain value of a function (usually x).

• Nonsingular matrix

A square matrix with nonzero determinant

• nth root of unity

A complex number v such that vn = 1

• Product rule of logarithms

ogb 1RS2 = logb R + logb S, R > 0, S > 0,

• Real zeros

Zeros of a function that are real numbers.

• Reciprocal function

The function ƒ(x) = 1x

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Transverse axis

The line segment whose endpoints are the vertices of a hyperbola.

• Venn diagram

A visualization of the relationships among events within a sample space.

• Ymin

The y-value of the bottom of the viewing window.

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